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arXiv math/0410544math.PRmath.OC
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在临时套利的环境下,资产的最公平价格

The fairest price of an asset in an environment of temporary arbitrage

Frederik Herzberg

摘要:

在实践中,由于不同证券交易所的特定资产的价格并不立即相同,因此存在临时套利机会。我们将证明,即使在这样的环境中,也存在一个“最公平的测度”(而不是鞅测度),尽管不一定是唯一的。为此,我们定义和分析定量概念的不公平,以及不完整的市场环境。

英文摘要:

In practice there are temporary arbitrage opportunities arising from the fact that prices for a given asset at different stock exchanges are not instantaneously the same. We will show that even in such an environment there exists a ``fairest measure'' (instead of a martingale measure), albeit not necessarily unique. For this end, we define and analyse quantitative notions of unfairness in complete as well as incomplete market settings.

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